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Prove the following identity : sin the...

Prove the following identity :
`sin theta cot theta+ sin theta cosec theta=1 + cos theta`.

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Prove the following identity : (cosec theta)/(cot theta+tan theta)= cos theta .

Prove the following identity : (sin theta tan theta)/ (1-cos theta)=1+ sec theta .

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Assuming that a person of normal sight can read print to such distance...

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  2. Assuming that the earth’s radius is 6400 km and that it subtends an an...

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  3. Prove the following identity : sin theta cot theta+ sin theta cosec ...

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  4. Prove that (cosec theta- sin theta) ( sec theta-cos theta) ( tan theta...

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  5. Prove the following identity : sin theta (1+tan theta)+ cos theta(1+...

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  6. Prove the following identity : (sin theta+ cos theta) (sec theta+ co...

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  7. (cosec theta -sin theta) (sec theta - cos theta) (tan theta + cot thet...

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  8. Prove the following identity : sin^2 A cos^2 B + cos^2 A sin^2 B + c...

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  9. Prove the following identity : (sin theta tan theta)/ (1-cos theta)=...

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  10. Prove the following identity : (1+cos theta)/(1-cos theta)= (tan^2 t...

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  11. Prove the following identity : (1-sin theta)/(1+sin theta)= (sec the...

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  12. Prove the following identity : sqrt ((1-cos theta)/(1+cos theta)) = ...

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  13. Prove the following identity : sqrt ((1+cos theta)/ (1-cos theta))=c...

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  14. Prove the following identity : sqrt ((1+sin theta)/ (1-sin theta)) =...

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  15. Prove the following identity : cot^2 theta- cos^2 theta= cot^2 theta...

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  16. Prove the following identity : sin^4 theta+ cos^4 theta= 1-2 sin^2 t...

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  17. Prove the following identity : cos^4 theta- sin^4 theta= cos^2 theta...

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  18. Prove the following identity : sec^4 theta- tan^4 theta =1+2 tan^2 t...

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  19. Prove the following identity : sin^6 theta+ cos^6 theta= 1-3 sin^2 t...

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  20. Prove the following identity : 2 (sin^6 theta+ cos^6 theta)-3 (sin^4...

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